A machine is used to fill bags with beans. The machine is set to add 10 kilograms of beans to each bag. The table shows the weights of 277 bags that were randomly selected.

i.Are the weights normally distributed? How do you know?

ii.Do you think that using the machine is acceptable and fair to the customers? Explain your reasoning

wt in kg 9.5 9.6 9.7 9.8 9.9 10 10.1 10.2 10.3 10.4 10.5

#of bags 1 3 13 25 41 66 52 41 25 7 3

the mean 10

standard deviation 0.32

(mean-stand.dev) 9.68 <= x<= 10.32(mean + stand. dev) to fall in the first standard deviation(68%)

8/11* 100 = 72 %(sounds good)

Is the machine acceptable to the customers?? No idea